Question

Point P is located 2/5 of the distance from A to E. Point P is located at (-1, -1) and point A

Answer 1

The coordinates of point E is (-37/7, 23/7)

Calculating the midpoint of a line using a ratio

The formula for calculating a coordinate points using the points (-1, -1) and point A is located at (-7, 5) in the ratio 2:5 is expressed as:

E (x, y) = {(ax₁+bx₂)/a+b, (ay₁+by₂)/a+b}

Substitute the coordinates and ratios to have;

E (x, y) = {(2(-1)+5(-7))/2+5, (2(-1)+5(5))/2+5}

E(x, y) = {-35-2/7, -2+25/7}

E(x, y) = (-37/7, 23/7)

Hence the coordinates of point E is (-37/7, 23/7)

Learn more on midpoint here; brainly.com/question/5566419

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